Answer:
Step-by-step explanation:
Volume of the shipping container = Lengt * Breadth * Height
Given
Length = 4x² + 3x
Breadth = x² – 8
Height = 6x +15
Volume of the container = ( 4x² + 3x)( x² - 8)(6x+15)
( 4x² + 3x)( x² - 8) = 4x⁴-32x²+3x³-24x
( 4x² + 3x)( x² - 8) = 4x⁴+3x³-32x²-24x
(4x⁴+3x³-32x²-24x)(6x+15) = 24x⁵+60x⁴+18x⁴+45x³-192x³-480x²-144x²-360x
Collect like terms
( 4x² + 3x)( x² - 8)(6x+15) = 24x⁵+78x⁴-147x³-624x²-360x
Hence the standard form polynomial representing the volume of this shipping container is expressed as V = 24x⁵+78x⁴-147x³-624x²-360x
Answer: (-6,-4) (-2,-2) (-1,0) (2,6)
Step-by-step explanation:
We can see that points (2,0) and (4,1) isn't plotted on the line
(f o g)(x) = 2(5x + 1) - 6 = 10x - 4
(g o f)(x) = 5(2x - 6) + 1 = 10x - 29
So (f o g)(x) produces the greatest output.
Answer:
1,3 minimum
1,6 minimum
3,1 maximum
Step-by-step explanation:
Locate the h as x and the k as y for y-k=a(x-h)^2
The product of this is 90